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Finding the Third Proportional to 9.66 and 16.92

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Solution

The third proportional to 9.66 and 16.92 is: 29.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 16.92 = 16.92 : x
  2. Step 2: Convert to fraction form
    9.66/16.92 = 16.92/x
  3. Step 3: Cross multiply
    9.66x = 16.92 × 16.92
  4. Step 4: Simplify right side
    9.66x = 286.35
  5. Step 5: Solve for x
    x = 286.35/9.66
  6. Step 6: Final answer
    x = 29.65

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.